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WorksheetsSS_U1_Review B
Total questions: 20
Worksheet time: 10mins
Name
Class
Date
1.
Find the smallest angular frequency for which the discrete time signal with fundamental period N=8 would be periodic?
a)
π⁄4
b)
π⁄2
c)
3π⁄4
d)
π⁄16
2.
What is the nature of the following function: y[n] = y[n-1] + x[n]?
a)
Integrator
b)
Differentiator
c)
Subtractor
d)
Accumulator
3.
Is the function y[n] = x[n-1] – x[n-56] causal?
a)
The system is non causal
b)
The system is causal
c)
Both causal and non-causal
d)
None of the mentioned
4.
Is the function y[n] = y[n-1] + x[n] stable in nature?
a)
It is stable
b)
It is unstable
c)
Both stable and unstable
d)
None of the mentioned
5.
Determine the value of the summation: ??n= -? ?(n+3)(n2+n).
a)
3
b)
6
c)
9
d)
12
6.
Determine the product of two signals: x1 (n) = {2,1,1.5,3}; x2 (n) = { 1,1.5,0,2}.
a)
{2,1.5,0,6}
b)
{2,1.5,6,0}
c)
{2,0,1.5,6}
d)
{2,1.5,0,3}
7.
Which is the correct Euler expression?
a)
exp(2jt) = cos(2t) + jsin(t)
b)
exp(2jt) = cos(2t) + jsin(2t)
c)
exp(2jt) = cos(2t) + sin(t)
d)
exp(2jt) = jcos(2t) + jsin(t)
8.
The range for unit step function for u(t – a), is ________
a)
t < a
b)
t ≤ a
c)
t = a
d)
t ≥ a
9.
Which one of the following is not a ramp function?
a)
r(t) = t when t ≥ 0
b)
r(t) = 0 when t < 0
c)
r(t) = ∫u(t)dt when t < 0
d)
r(t) = du(t)⁄dt
10.
For a double-sided function, which is odd, what will be the integral of the function from -infinity to +infinity equal to?
a)
Non-zero Finite
b)
Zero
c)
Infinite
d)
None of the mentioned
11.
Which of the following is true for complex-valued function?
a)
X (-t) = x*(t)
b)
X (-t) = x(t)
c)
X (-t) = – x(t)
d)
X (-t) = x*(-t)
12.
A system is said to be defined as non-causal, when
a)
the output at the present depends on the input at an earlier time
b)
the output at the present does not depend on the factor of time at all
c)
the output at the present depends on the input at the current time
d)
the output at the present depends on the input at a time instant in the future
13.
When we take up design of systems, ideally how do we define the stability of a system?
a)
A system is stable, if a bounded input gives a bounded output, for some values of the input
b)
A system is unstable, if a bounded input gives a bounded output, for all values of the input
c)
A system is stable, if a bounded input gives a bounded output, for all values of the input
d)
A system is unstable, if a bounded input gives a bounded output, for some values of the input
14.
All causal systems must have the component of
a)
Memory
b)
time invariance
c)
Stability
d)
Linearity
15.
The odd and even components of sequence x(n) = {1,1,0.5}
a)
{0.25,0,-0.25}, (0.75,1,0.75}
b)
{1.5,0,-1.5}, {1.5,1,1.5}
c)
{0.25,0,-0.25}, {0.5,1,0.5}
d)
{0.25,0,-25}, {1.5,1,1.5}
16.
The system y(t) = (3t-6) is
a)
Linear, time variant
b)
Linear, time invariant
c)
Non linear, time variant
d)
Nonlinear, time invariant
17.
The system y(n) = x(n) + x(n-1) is
a)
Dynamic and linear
b)
Dynamic, non linear
c)
Causal and time invariant
d)
Non-causal, time variant
18.
The system y(n) = cos[x(n)] is
a)
Stable, linear, time variant
b)
Stable, nonlinear, time invariant
c)
Unstable, nonlinear, time variant
d)
Unstable, linear, time invariant
19.
The system y(n+2) + y(n+1) = x(n+2) is
a)
Causal and memoryless
b)
Causal and has memory
c)
Is causal
d)
Is non-causal
20.
Comment on the stability of the following system, y[n] = (x[n-1])n.
a)
Stable
b)
Unstable
c)
Partially Stable
d)
All of the mentioned
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